Novel Correlations in Arbitrary Dimensions

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We present a new three dimensional many-body Hamiltonian with three-body and five-body interactions. We obtain the exact ground state as well as some excited states of this Hamiltonian for arbitrary number of particles. These exact wave-functions describe a novel correlations. Finally, we generalize these three dimensional results to arbitrary higher dimensions.
11 pages, RevTeX, discussions on the antisymmetric property of the many-body wave functions, discussions on generalized correlations in two dimensions

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